Solve (2.27*10^-3-2.3*10^-3)A/2.27*10^-3A*100=

$$\frac { ( 2.27 \times 10 ^ { - 3 } - 2.3 \times 10 ^ { - 3 } ) A } { 2.27 \times 10 ^ { - 3 } A } \times 100 =$$

Evaluate

$$-\frac{300}{227}\approx -1.321585903$$

Solution Steps

Cancel out A in both numerator and denominator.

$$\frac{2.27\times 10^{-3}-2.3\times 10^{-3}}{2.27\times 10^{-3}}\times 100$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{2.27\times \frac{1}{1000}-2.3\times 10^{-3}}{2.27\times 10^{-3}}\times 100$$

Multiply 2.27 and \frac{1}{1000} to get \frac{227}{100000}.

$$\frac{\frac{227}{100000}-2.3\times 10^{-3}}{2.27\times 10^{-3}}\times 100$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\frac{227}{100000}-2.3\times \frac{1}{1000}}{2.27\times 10^{-3}}\times 100$$

Multiply 2.3 and \frac{1}{1000} to get \frac{23}{10000}.

$$\frac{\frac{227}{100000}-\frac{23}{10000}}{2.27\times 10^{-3}}\times 100$$

Subtract \frac{23}{10000} from \frac{227}{100000} to get -\frac{3}{100000}.

$$\frac{-\frac{3}{100000}}{2.27\times 10^{-3}}\times 100$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{-\frac{3}{100000}}{2.27\times \frac{1}{1000}}\times 100$$

Multiply 2.27 and \frac{1}{1000} to get \frac{227}{100000}.

$$\frac{-\frac{3}{100000}}{\frac{227}{100000}}\times 100$$

Divide -\frac{3}{100000} by \frac{227}{100000} by multiplying -\frac{3}{100000} by the reciprocal of \frac{227}{100000}.

$$-\frac{3}{100000}\times \frac{100000}{227}\times 100$$

Multiply -\frac{3}{100000} and \frac{100000}{227} to get -\frac{3}{227}.

$$-\frac{3}{227}\times 100$$

Multiply -\frac{3}{227} and 100 to get -\frac{300}{227}.

$$-\frac{300}{227}$$

Factor

$$-\frac{300}{227} = -1\frac{73}{227} = -1.3215859030837005$$